Buch, Englisch, Band 48, 387 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1650 g
Classical Setting: Line Bundles and Linear Series
Buch, Englisch, Band 48, 387 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1650 g
ISBN: 978-3-540-22533-1
Verlag: Springer Berlin Heidelberg
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.
Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
- Geisteswissenschaften Geschichtswissenschaft Weltgeschichte & Geschichte einzelner Länder und Gebietsräume Geschichte einzelner Länder Europäische Länder England, UK, Irland: Regional & Stadtgeschichte
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
Weitere Infos & Material
Notation and Conventions.- One: Ample Line Bundles and Linear Series.- to Part One.- 1 Ample and Nef Line Bundles.- 2 Linear Series.- 3 Geometric Manifestations of Positivity.- 4 Vanishing Theorems.- 5 Local Positivity.- Appendices.- A Projective Bundles.- B Cohomology and Complexes.- B.1 Cohomology.- B.2 Complexes.- References.- Glossary of Notation.
